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Simplifying 5x + 9 = 8x + 1 Reorder the terms: 9 + 5x = 8x + 1 Reorder the terms: 9 + 5x = 1 + 8x Solving 9 + 5x = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + 5x + -8x = 1 + 8x + -8x Combine like terms: 5x + -8x = -3x 9 + -3x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -3x = 1 + 0 9 + -3x = 1 Add '-9' to each side of the equation. 9 + -9 + -3x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 1 + -9 -3x = 1 + -9 Combine like terms: 1 + -9 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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